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Finding the Fourth Proportional to 19,561.28, 29,354.22 and 9,701.12

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Solution

The fourth proportional to 19,561.28, 29,354.22 and 9,701.12 is: 14,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.28 : 29,354.22 = 9,701.12 : x
  2. Step 2: Convert to fraction form
    19,561.28/29,354.22 = 9,701.12/x
  3. Step 3: Cross multiply
    19,561.28x = 29,354.22 × 9,701.12
  4. Step 4: Simplify right side
    19,561.28x = 284,768,810.73
  5. Step 5: Solve for x
    x = 284,768,810.73/19,561.28
  6. Step 6: Final answer
    x = 14,557.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.